A note on large gauge transformations in double field theory

TL;DR

This paper provides a detailed proof confirming that large gauge transformations in double field theory are equivalent to the exponential map of the generalized Lie derivative, supporting the theoretical consistency of the framework.

Contribution

It offers a rigorous proof validating the proposed form of large gauge transformations in double field theory as equivalent to the exponential map.

Findings

Proof confirms the equivalence of large gauge transformations and exponential maps

Supports the consistency of gauge transformation proposals in double field theory

Strengthens the theoretical foundation of double field theory

Abstract

We give a detailed proof of the conjecture by Hohm and Zwiebach in double field theory. This result implies that their proposal for large gauge transformations in terms of the Jacobian matrix for coordinate transformations is, as required, equivalent to the standard exponential map associated with the generalized Lie derivative along a suitable parameter.